Sum of Tangent-Power Integrals
Difficulty: Medium · Topics: Calculus, Integration, Reduction Formulas
Tangens darajalari integrallari yig‘indisi
The sequence \a n\ satisfies
a n=∫ 0^(π)/(4)tan^nx dx, n=1,2,3,…
Calculate a 1+a 2+a 3+a 4.
\a n\ ketma-ketlik quyidagini qanoatlantiradi:
a n=∫ 0^(π)/(4)tan^nx dx, n=1,2,3,…
a 1+a 2+a 3+a 4 ni hisoblang.